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Alex73 [517]
3 years ago
11

How can yo order rational numbers from least to greatest

Mathematics
1 answer:
3241004551 [841]3 years ago
4 0

To arrange numbers from least to greatest:

First write them down in decimal form. Now it will be easy to determine which value is greater than the other.

Arrange the decimal numbers from least to greatest.

Finally revert the decimal values to their fraction form having arranged them from one with least value to one with greatest value.

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<img src="https://tex.z-dn.net/?f=1%20%2B%20%20log_%7B2%7D%28x%20-%202%29%20%20%3D%20%20%20log_%7B2%7Dx" id="TexFormula1" title=
fenix001 [56]

Move all the logarithms on the left hand side, and all the constants on the other:

\log_2(x-2) - \log_2(x) = -1

Use the rule of logarithms

\log_a(b) - \log_a(c) = \log_a\left(\dfrac{b}{c}\right)

To rewrite the equation as

\log_2\left(\dfrac{x-2}{x}\right) = -1

Evaluate 2 to the power of each side:

\dfrac{x-2}{x} = 2^{-1} = \dfrac{1}{2}

Multiply both sides by 2x:

2(x-2) = x \iff 2x-4 = x \iff x = 4

6 0
3 years ago
Read 2 more answers
Complete this statement: 20 a x 2 + 25 a x + 15 a = 5 a 20 a x 2 + 25 a x + 15 a = 5 a
liubo4ka [24]

Answer:

Step-by-step explanation:

(((22•5ax2) +  25ax) +  15a) -  5  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  20ax2 + 25ax + 15a - 5  =  

 5 • (4ax2 + 5ax + 3a - 1)  

Equation at the end of step  3  :

 5 • (4ax2 + 5ax + 3a - 1)  = 0  

Step  4  :

Equations which are never true :  

4.1      Solve :    5   =  0

4 0
3 years ago
2x=8 <br>so find the value of x​
melisa1 [442]

Answer:

x = 4

Step-by-step explanation:

2x/2 = 8/2

x =4

6 0
3 years ago
State the y-coordinate of the y-intercept for the function below.
marta [7]

Answer:

1

Step-by-step explanation:

y-intercept is defined as the point where the graph crosses the y-axis. The value of x coordinate at this point is zero, as along entire y-axis, the value of x coordinate is always zero. So substituting x = 0 in the function will give us the y-coordinate of the y-intercept of the given function.

f(x)=x^{3}-x^{2} -x+1

Substituting x = 0 in this function, we get:

f(0)=0^{3}-0^{2}-0+1=1

Thus, the y-coordinate of the y-intercept is 1. Therefore the y-intercept of the function in ordered pair will be: (0, 1)

3 0
3 years ago
When a math question asks you to write an inequality is it the expression I wrote or is it the answer I get?
castortr0y [4]
Yes, the answer you get.
7 0
3 years ago
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